122745016531225 has 27 divisors (see below), whose sum is σ = 167299244796061. Its totient is φ = 89268659770400.

The previous prime is 122745016531199. The next prime is 122745016531243. The reversal of 122745016531225 is 522135610547221.

The square root of 122745016531225 is 11079035.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 21089742815449 + 101655273715776 = 4592357^2 + 10082424^2 .

It is not a de Polignac number, because 122745016531225 - 2²¹ = 122745014434073 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 609246207 + ... + 609447643.

Almost surely, 2^{122745016531225} is an apocalyptic number.

122745016531225 is the 11079035-th square number.

122745016531225 is the 5539518-th centered octagonal number.

It is an amenable number.

122745016531225 is a deficient number, since it is larger than the sum of its proper divisors (44554228264836).

122745016531225 is an frugal number, since it uses more digits than its factorization.

122745016531225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402906 (or 201453 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 46.

The spelling of 122745016531225 in words is "one hundred twenty-two trillion, seven hundred forty-five billion, sixteen million, five hundred thirty-one thousand, two hundred twenty-five".